Differential Logic • 8

Posted on April 8, 2020 by Jon Awbrey

Propositional Forms on Two Variables

To broaden our experience with simple examples, let’s examine the sixteen functions of concrete type P \times Q \to \mathbb{B} and abstract type \mathbb{B} \times \mathbb{B} \to \mathbb{B}.  Our inquiry into the differential aspects of logical conjunction will pay dividends as we study the actions of \mathrm{E} and \mathrm{D} on this family of forms.

Table A1 arranges the propositional forms on two variables in a convenient order, giving equivalent expressions for each boolean function in several systems of notation.

Table A1.  Propositional Forms on Two Variables

Table A1. Propositional Forms on Two Variables

cc: Category Theory • Cybernetics • Ontolog • Structural Modeling • Systems Science
cc: FB | Differential Logic • Laws of Form • Peirce (1) (2) (3) (4)

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